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Finding the Fourth Proportional to 699,504, 965,315.52 and 381,552

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Solution

The fourth proportional to 699,504, 965,315.52 and 381,552 is: 526,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,504 : 965,315.52 = 381,552 : x
  2. Step 2: Convert to fraction form
    699,504/965,315.52 = 381,552/x
  3. Step 3: Cross multiply
    699,504x = 965,315.52 × 381,552
  4. Step 4: Simplify right side
    699,504x = 368,318,067,287.04
  5. Step 5: Solve for x
    x = 368,318,067,287.04/699,504
  6. Step 6: Final answer
    x = 526,541.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.